On the Kervaire classes of homotopy real projective spaces

Yasuhiko KITADA

doi:10.2969/jmsj/04320219

Yasuhiko KITADA

著者情報

ジャーナルフリー

1991 年 43 巻 2 号 p. 219-227

DOI https://doi.org/10.2969/jmsj/04320219

詳細

Published: 1991 Received: 1989/11/04 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. F, Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
2) G. Brumfiel, I. Madsen and R. J. Milgram, FL characteristic classes and cobordism, Ann. of Math., 97 (1971), 82-159.
3) K. H. Dovermann, M. Masuda and R. Schultz, Conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 1-35.
4) C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
5) C.H. Giffen, Smooth homotopy projective spaces, Bull. Amer. Math. Soc., 75 (1969), 509-513.
6) F. Hegenbarth, and A. Heil, Exotic characteristic classes and their relation to universal surgery classes, Math. Z., 186 (1984), 211-221.
7) Y. Kitada, The desuspendability of free involutions on 9-spheres, J. Fac. Sci. Univ. of Tokyo, Sec. IA Math., 37 (1990), 243-253.
8) S. Lopez de Medrano, Involutions on manifolds, Ergebnisse der Mathematik, Springer, 1971.
9) I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Princeton Univ. Press, Princeton, 1979.
10) C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
11) S. Stolz, A note on conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 69-73.
12) C. T. C. Wall, Surgery on compact manifolds, Academic Press, London, 1970.

Right : [1] J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
[2] G. Brumfiel, I. Madsen and R. J. Milgram, PL characteristic classes and cobordism, Ann. of Math., 97 (1971), 82-159.
[3] K. H. Dovermann, M. Masuda and R. Schultz, Conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 1-35.
[4] C. H. Giffen, Desuspendability of free involutions on Brieskorn spheres, Bull. Amer. Math. Soc., 75 (1969), 426-429.
[5] C. H. Giffen, Smooth homotopy projective spaces, Bull. Amer. Math. Soc., 75 (1969), 509-513.
[6] F. Hegenbarth, and A. Heil, Exotic characteristic classes and their relation to universal surgery classes, Math. Z., 186 (1984), 211-221.
[7] Y. Kitada, The desuspendability of free involutions on 9-spheres, J. Fac. Sci. Univ. of Tokyo, Sec. IA Math., 37 (1990), 243-253.
[8] S. Lopez de Medrano, Involutions on manifolds, Ergebnisse der Mathematik, Springer, 1971.
[9] I. Madsen and R. J. Milgram, The classifying spaces for surgery and cobordism of manifolds, Princeton Univ. Press, Princeton, 1979.
[10] C. P. Rourke and D. P. Sullivan, On the Kervaire obstruction, Ann. of Math., 94 (1971), 397-413.
[11] S. Stolz, A note on conjugation involutions on homotopy complex projective spaces, Japan. J. Math., 12 (1986), 69-73.
[12] C. T. C. Wall, Surgery on compact manifolds, Academic Press, London, 1970.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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